A new car that is a gas- and electric-powered hybrid has recently hit the market
ID: 3081540 • Letter: A
Question
A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 45 miles and a standard deviation of 7 miles. Find the probability of the following events:
A. The car travels more than 53 miles per gallon.
Probability =
B. The car travels less than 41 miles per gallon.
Probability =
C. The car travels between 41 and 49 miles per gallon.
Probability =
A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 45 miles and a standard deviation of 7 miles. Find the probability of the following events:
A. The car travels more than 53 miles per gallon.
Probability =
B. The car travels less than 41 miles per gallon.
Probability =
C. The car travels between 41 and 49 miles per gallon.
Probability =
Explanation / Answer
Remember, z= (x-µ)/ s So for the 1st one, z= (53-45)/7 = 8/7. Look at a table or plug this into a calculator to find the probability for that. Do the same for #2 For the 3rd one, calculate 2 z scores with your two different values and find the probability of getting a z between those two.
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